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Finding the Fourth Proportional to 111,231.52, 166,428.72 and 78,016.40

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Solution

The fourth proportional to 111,231.52, 166,428.72 and 78,016.40 is: 116,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,231.52 : 166,428.72 = 78,016.40 : x
  2. Step 2: Convert to fraction form
    111,231.52/166,428.72 = 78,016.40/x
  3. Step 3: Cross multiply
    111,231.52x = 166,428.72 × 78,016.40
  4. Step 4: Simplify right side
    111,231.52x = 12,984,169,591.01
  5. Step 5: Solve for x
    x = 12,984,169,591.01/111,231.52
  6. Step 6: Final answer
    x = 116,731.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.